Structure-preserving strategy for conservative simulation of relativistic nonlinear Landau--Fokker--Planck equation

Abstract

Mathematical symmetries of the Beliaev--Budker kernel are the most important structure of the relativistic Landau--Fokker--Planck equation. By preserving the beautiful symmetries, a mass-momentum-energy-conserving simulation has been demonstrated without any artificial constraints.

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Cited by in corpus (4)

• Structure-preserving marker-particle discretizations of Coulomb collisions for particle-in-cell codes
• A fully implicit, scalable, conservative nonlinear relativistic Fokker-Planck 0D-2P solver for runaway electron
• Multispecies structure-preserving particle discretization of the Landau collision operator
• A mass-energy-conserving discontinuous Galerkin scheme for the isotropic multispecies Rosenbluth--Fokker--Planck equation